Have you ever thought drawing your own butterfly?
I came across the butterfly curve, which was discovered by Temple Fay. The butterfly curve is produced by a parametric equation where:
x = sin(t) * (e^cos(t)-2cos(λt)-sin(t/12)^5) and
y = cos(t) * (e^cos(t)-2cos(λt)-sin(t/12)^5).
Where t stands for time and
λ for a user input variable.